Question 1
Which of the following statements is true?
Statement 1: For every graph and every maximum flow on , there always exists an edge such that increasing the capacity on that edge will increase the maximum flow that's possible in the graph.
Statement 2: Suppose the maximum -flow of some graph has value . Now we increase the capacity of every edge by 1. Then the maximum -flow in this modified graph will have value at most .
Statement 1
Statement 2
Both statements
Neither statement